Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900275 | Journal of Mathematical Analysis and Applications | 2018 | 16 Pages |
Abstract
This paper is concerned with the existence of traveling waves for a nonlocal dispersal Kermack-McKendrick epidemic model. As we know, due to the semiflow generated by the model does not have the order-preserving property and the solutions lack of regularity, it is difficult to investigate traveling waves with the critical wave speed. Furthermore, the nonlocal dispersal and bilinear incidence bring additional difficulties to get the boundedness of traveling waves. In the present paper, we overcome these difficulties to obtain the boundedness of traveling waves by analysis technique firstly and then prove the existence of traveling waves under the critical wave speed.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fei-Ying Yang, Wan-Tong Li,